基于插值的多相流格子Boltzmann方法曲线边界算法研究

doi:10.16088/j.issn.1001-6600.2024100401

Abstract

Abstract: Boundary treatment is a central issue in fluid flow modelling, especially critical in the lattice Boltzmann method (LBM). While the curved boundary conditions effectively improve the accuracy of complex geometrical boundaries in single-phase flow simulations, the conventional curved boundary conditions often lead to significant mass leakage and computational errors in multiphase flow simulations. This is mainly due to the reason that the nonlinear variation of density in the transition region caused by non-ideal effects is not considered in the traditional format of processing curvilinear boundary conditions. In this paper, non-ideal effects are introduced into the interpolation scheme, and a class of interpolation-based curved boundary algorithms for multiphase flow are proposed, including linear interpolation, quadratic interpolation and cubic interpolation schemes. Validated by a series of static and dynamic multiphase flow simulations with large density ratios, the method effectively improves the computational accuracy of the multiphase flow boundary conditions, with the required mass compensation approaching zero, and the imaginary velocity reducing to below by an order of magnitude compared with the previous method.

Key words: curve boundary condition, multiphase flow, surface wettability, lattice Boltzmann method, large density ratio

CLC Number: O35

LING Fu, ZHANG Yonggang, WEN Binghai. Study on Curve Boundary Algorithm of Multiphase Lattice Boltzmann Method Based on Interpolation[J].Journal of Guangxi Normal University(Natural Science Edition), 2025, 43(6): 54-68.

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Study on Curve Boundary Algorithm of Multiphase Lattice Boltzmann Method Based on Interpolation

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